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ladessa [460]
3 years ago
6

Find the distance between the points given. (-1, -1) and (1, 3)

Mathematics
2 answers:
Afina-wow [57]3 years ago
8 0
(2,4) it takes 2 from -1 to 1 and 4 from -1 to 3
allsm [11]3 years ago
3 0

Given two points A = (A_x, A_y) and B = (B_x, B_y), you can compute their distance using the Pythagorean theorem: you have

AB = \sqrt{(A_x-B_x)^2 + (A_y - B_y)^2}

In your case, you have

AB = \sqrt{(-1-1)^2 + (-1-3)^2} = \sqrt{(-2)^2+(-4)^2} = \sqrt{4+16} = \sqrt{20} = 2\sqrt{5}

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Prove that: <br> 27^10-9^14 is divisible by 24
Alexandra [31]

27^10-9^14

=3^30 - 3^28

=3^28 (3^2-1)

=3^28 ·8

=2^27 ·3·8

=3^27 · 24 is divisible by 24

4 0
2 years ago
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The tables show functions representing the growth of two types of bacteria on certain days within an experiment that lasted a to
Verizon [17]

Answer:

A. False

B. True

C. False

D. False

Step-by-step explanation:

A. Since x-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.

False, it is the y-intercept of the function that indicates the amount at the start of the experiment.

B. Since y-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.

True, the y-intercept is given when x = 0, indicating the inicial value of the function.

C. Since the maximum value in the table for bacteria A is greater than the maximum value in the table for bacteria B, bacteria A has a faster growth rate than bacteria B.

False, because the maximum value of each table is given in different times, and also the inicial value of each table is different.

D. Since the minimum value in the table for bacteria A is less than the minimum value in the table for bacteria B, bacteria A has a slower growth rate than bacteria B.

False, the growth rate is not given by the inicial value. If we model both tables with an exponencial function, the count of bacteria A quadruped in two days, and the count of bacteria B doubled in one day, so they have the same growth rate.

6 0
3 years ago
WHO US GOOD AT PRECAL!?
butalik [34]

Answer:

(-10,-3)

Step-by-step explanation:

okay so first, we can plot the points (-3,2) and (4,7) on a graph. after graphing these points, look at the difference between the y-values. this is 5 because 7-2 is 5. now, look at the x-values. this is 7 because 4-(-3) is 7. so this means we have to go on the other side of the midpoint (-3,2) and go 5 lines down from that point. this brings us at (-3,-3). now, we have to go 7 lines to the left. this is (-10,-3). this is the other endpoint.

you can also graph this on desmos to double-check.

hope this helps:)

5 0
3 years ago
A bicyclist travels 1 mile in 5 minutes. If m represents minutes, what does the expression m over 5 represent
REY [17]
The expression m over 5 would represent the number of miles the bicyclist had traveled for a time of 5 minutes. This value is  a value of speed. It is the magnitude of a velocity. It represents the total distance that is traveled for given certain period of time. It is a scalar quantity since it does not have any direction. It would have dimensions of distance per time with SI units of meter per second. Other units used are kilometer per hour and miles per hour. The vector quantity counterpart of this is called the velocity where it contains the magnitude of the speed and a direction. The direction of velocity is indicated by a positive and a negative sign.
4 0
3 years ago
Points A, B, and C are collinear and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC?
tresset_1 [31]

Answer:

<h2>BC = 30</h2>

Step-by-step explanation:

Look at the picture.

The equation:

(2x+2)+(3x+6)=48        <em>combine like terms</em>

(2x+3x)+(2+6)=48

5x+8=48         <em>subtract 8 from both sides</em>

5x+8-8=48-8

5x=40           <em>divide both sides by 5</em>

\dfrac{5x}{5}=\dfrac{40}{5}

x=8

BC=3x+6 - put x = 8:

BC=3(8)+6=24+6=30

4 0
2 years ago
Read 2 more answers
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